I would try adding oil, then using something to remove the oil, then follow up with a vinyl/plastic dressing.

The reason is that you need to find something that will solubilize the dried wax, and since wax is a hydrocarbon, probably something hydrocarbon based would work best. Then you need to clean all the oily stuff off, so a degreaser would be useful. And then a dressing to protect what you just cleaned.

There are waxes and finishes that won't dry white (or at least bright white), I think Meguiars #26 is one of them.